pith. sign in
module module moderate

IndisputableMonolith.Economics.NashEquilibriumTypesFromConfigDim

show as:
view Lean formalization →

This module defines Nash equilibrium types and certificates derived from configuration dimension for Recognition Science economics. Economists building RS-native market models would cite these definitions when certifying equilibria. It is a definition-only module importing Constants and Mathlib with no proofs.

claimDeclares $NashType : ℕ → Type$ and $NashEquilibriumCert : NashType(n) → Prop$ (plus count functions) parameterized by configuration dimension.

background

The module sits in the Economics domain and imports IndisputableMonolith.Constants, whose doc-comment states 'The fundamental RS time quantum (RS-native). τ₀ = 1 tick.' It introduces the sibling definitions NashType, nashType_count, NashEquilibriumCert and nashEquilibriumCert. The local setting applies Recognition Science to economic equilibria via configuration dimension.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

Supplies the type infrastructure for Nash equilibria in RS economics. No downstream uses are recorded, so it currently stands as a foundational block for future parent theorems on equilibrium certification.

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)